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Geometry and Topology of Manifolds

Edited by: Hans U. Boden McMaster University, Hamilton, ON, Canada
Ian Hambleton McMaster University, Hamilton, ON, Canada
Andrew J. Nicas McMaster University, Hamilton, ON, Canada
B. Doug Park University of Waterloo, Waterloo, ON, Canada
A co-publication of the AMS and Fields Institute
Available Formats:
Electronic ISBN: 978-1-4704-3081-8
Product Code: FIC/47.E
List Price: $126.00 MAA Member Price:$113.40
AMS Member Price: $100.80 Click above image for expanded view Geometry and Topology of Manifolds Edited by: Hans U. Boden McMaster University, Hamilton, ON, Canada Ian Hambleton McMaster University, Hamilton, ON, Canada Andrew J. Nicas McMaster University, Hamilton, ON, Canada B. Doug Park University of Waterloo, Waterloo, ON, Canada A co-publication of the AMS and Fields Institute Available Formats:  Electronic ISBN: 978-1-4704-3081-8 Product Code: FIC/47.E  List Price:$126.00 MAA Member Price: $113.40 AMS Member Price:$100.80
• Book Details

Fields Institute Communications
Volume: 472005; 347 pp
MSC: Primary 57; 53; 58; 14;

This book contains expository papers that give an up-to-date account of recent developments and open problems in the geometry and topology of manifolds, along with several research articles that present new results appearing in published form for the first time. The unifying theme is the problem of understanding manifolds in low dimensions, notably in dimensions three and four, and the techniques include algebraic topology, surgery theory, Donaldson and Seiberg-Witten gauge theory, Heegaard Floer homology, contact and symplectic geometry, and Gromov-Witten invariants. The articles collected for this volume were contributed by participants of the Conference "Geometry and Topology of Manifolds" held at McMaster University on May 14–18, 2004 and are representative of the many excellent talks delivered at the conference.

Graduate students and research mathematicians interested in geometric topology.

• Chapters
• Selman Akbulut and Selahi Durusoy - An involution acting nontrivially on Heegaard-Floer homology
• Weimin Chen - Pseudoholomorphic curves in four-orbifolds and some applications
• Olivier Collin - Floer homology for knots and 3-manifolds and cyclic Dehn surgeries along knots
• Cynthia Curtis - A $PSL_2(\mathbb {C})$ Casson invariant
• James Davis - The Borel/Novikov conjectures and stable diffeomorphisms of 4-manifolds
• Tobias Ekholm and John Etnyre - Invariants of knots, embeddings and immersions via contact geometry
• Paul Feehan and Thomas Leness - SO(3)-monopoles: The overlap problem
• Stanislav Jabuka and Thomas Mark - Heegaard Floer homology of mapping tori II
• Vyacheslav Krushkal - Surfaces in 4-manifolds and the surgery conjecture
• Junho Lee and Thomas Parker - Symplectic gluing and family Gromov-Witten invariants
• Yi-Jen Lee - Heegaard splittings and Seiberg-Witten monopoles
• Tian-Jun Li - Existence of symplectic surfaces
• András Némethi - On the Heegaard Floer homology of $S^3_{-d}(K)$ and unicuspidal rational plane curves
• Martin Niepel - Examples of symplectic 4-manifolds with positive signature
• Brendan Owens and Sašo Strle - Definite manifolds bounded by rational homology three spheres
• Peter Ozsváth and Zoltán Szabó - On Park’s exotic smooth four-manifolds
• Jacob Rasmussen - Knot polynomials and knot homologies
• Daniel Ruberman and Nikolai Saveliev - Casson-type invariants in dimension four
• Samuel Schack and Xingru Zhang - Culler-Shalen norms and invariant trace fields
• Laurence Taylor - Complex spin structures on 3-manifolds
• Michael Usher - Lefschetz fibrations and pseudoholomorphic curves
• Stefano Vidussi - The isotopy problem for symplectic 4-manifolds
• Request Review Copy
Volume: 472005; 347 pp
MSC: Primary 57; 53; 58; 14;

This book contains expository papers that give an up-to-date account of recent developments and open problems in the geometry and topology of manifolds, along with several research articles that present new results appearing in published form for the first time. The unifying theme is the problem of understanding manifolds in low dimensions, notably in dimensions three and four, and the techniques include algebraic topology, surgery theory, Donaldson and Seiberg-Witten gauge theory, Heegaard Floer homology, contact and symplectic geometry, and Gromov-Witten invariants. The articles collected for this volume were contributed by participants of the Conference "Geometry and Topology of Manifolds" held at McMaster University on May 14–18, 2004 and are representative of the many excellent talks delivered at the conference.

Graduate students and research mathematicians interested in geometric topology.

• Chapters
• Selman Akbulut and Selahi Durusoy - An involution acting nontrivially on Heegaard-Floer homology
• Weimin Chen - Pseudoholomorphic curves in four-orbifolds and some applications
• Olivier Collin - Floer homology for knots and 3-manifolds and cyclic Dehn surgeries along knots
• Cynthia Curtis - A $PSL_2(\mathbb {C})$ Casson invariant
• James Davis - The Borel/Novikov conjectures and stable diffeomorphisms of 4-manifolds
• Tobias Ekholm and John Etnyre - Invariants of knots, embeddings and immersions via contact geometry
• Paul Feehan and Thomas Leness - SO(3)-monopoles: The overlap problem
• Stanislav Jabuka and Thomas Mark - Heegaard Floer homology of mapping tori II
• Vyacheslav Krushkal - Surfaces in 4-manifolds and the surgery conjecture
• Junho Lee and Thomas Parker - Symplectic gluing and family Gromov-Witten invariants
• Yi-Jen Lee - Heegaard splittings and Seiberg-Witten monopoles
• Tian-Jun Li - Existence of symplectic surfaces
• András Némethi - On the Heegaard Floer homology of $S^3_{-d}(K)$ and unicuspidal rational plane curves
• Martin Niepel - Examples of symplectic 4-manifolds with positive signature
• Brendan Owens and Sašo Strle - Definite manifolds bounded by rational homology three spheres
• Peter Ozsváth and Zoltán Szabó - On Park’s exotic smooth four-manifolds
• Jacob Rasmussen - Knot polynomials and knot homologies
• Daniel Ruberman and Nikolai Saveliev - Casson-type invariants in dimension four
• Samuel Schack and Xingru Zhang - Culler-Shalen norms and invariant trace fields
• Laurence Taylor - Complex spin structures on 3-manifolds
• Michael Usher - Lefschetz fibrations and pseudoholomorphic curves
• Stefano Vidussi - The isotopy problem for symplectic 4-manifolds
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